derive

spring, arise, rise, originate, derive, flow, issue, emanate, proceed, stem mean to come up or out of something into existence.

spring implies rapid or sudden emerging.

arise and rise may both convey the fact of coming into existence or notice but rise often stresses gradual growth or ascent.

originate implies a definite source or starting point.

derive implies a prior existence in another form.

flow adds to spring a suggestion of abundance or ease of inception.

issue suggests emerging from confinement through an outlet.

emanate applies to the coming of something immaterial (such as a thought) from a source.

proceed stresses place of origin, derivation, parentage, or logical cause.

stem implies originating by dividing or branching off from something as an outgrowth or subordinate development.